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Invariant Complex Structures on 6-Nilmanifolds: Classification, Frolicher Spectral Sequence and Special Hermitian Metrics

Autores

CEBALLOS GONZÁLEZ, MANUEL, Otal, A. , Ugarte, L. , Villacampa, R.

Publicación externa

Si

Medio

J. Geom. Anal.

Alcance

Article

Naturaleza

Científica

Cuartil JCR

Cuartil SJR

Impacto JCR

0.87

Impacto SJR

1.647

Fecha de publicacion

01/01/2016

ISI

000378003400013

Abstract

We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behavior of the associated Frolicher sequence is studied as well as its relation to the existence of strongly Gauduchon metrics. We also show that the strongly Gauduchon property and the balanced property are not closed under holomorphic deformation.

Palabras clave

Complex structure; Nilmanifold; Holomorphic deformation; Frolicher spectral sequence; Hermitian metric

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